164417280 has 144 divisors (see below), whose sum is σ = 536868864. Its totient is φ = 42864640.

The previous prime is 164417261. The next prime is 164417287. The reversal of 164417280 is 82714461.

It is a super-3 number, since 3×164417280³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164417287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180025 + ... + 180935.

It is an arithmetic number, because the mean of its divisors is an integer number (3728256).

Almost surely, 2^164417280 is an apocalyptic number.

164417280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268434432).

164417280 is an abundant number, since it is smaller than the sum of its proper divisors (372451584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164417280 is an equidigital number, since it uses as much as digits as its factorization.

164417280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 164417280 is about 12822.5301715379. The cubic root of 164417280 is about 547.8342155728.

The spelling of 164417280 in words is "one hundred sixty-four million, four hundred seventeen thousand, two hundred eighty".